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<a href="#func-members">Functions</a>  </div>
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<div class="title">Vtl::intersections Namespace Reference</div>  </div>
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<tr><td colspan="2"><h2><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a98449060e8a8660d4a37a3623dfe8271"><td class="memTemplParams" colspan="2">template&lt;typename Scalar , int Dimension&gt; </td></tr>
<tr class="memitem:a98449060e8a8660d4a37a3623dfe8271"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespace_vtl_1_1intersections.html#a98449060e8a8660d4a37a3623dfe8271">lineWithLineIntersection</a> (const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_LineA, const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_LineB, Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *_Point=NULL, const double &amp;_Eps=1e-4)</td></tr>
<tr class="memdesc:a98449060e8a8660d4a37a3623dfe8271"><td class="mdescLeft">&#160;</td><td class="mdescRight">Intersects two lines(Rays).  <a href="#a98449060e8a8660d4a37a3623dfe8271"></a><br/></td></tr>
<tr class="memitem:abcfbdb5e7051cb57a8b79d4dd821d129"><td class="memTemplParams" colspan="2">template&lt;typename Scalar , int Dimension&gt; </td></tr>
<tr class="memitem:abcfbdb5e7051cb57a8b79d4dd821d129"><td class="memTemplItemLeft" align="right" valign="top">Eigen::ParametrizedLine<br class="typebreak"/>
&lt; Scalar, Dimension &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespace_vtl_1_1intersections.html#abcfbdb5e7051cb57a8b79d4dd821d129">lineToLineSegment</a> (const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_LineA, const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_LineB, const double &amp;_Eps=1e-4)</td></tr>
<tr class="memdesc:abcfbdb5e7051cb57a8b79d4dd821d129"><td class="mdescLeft">&#160;</td><td class="mdescRight">Returns the shortest line segment between two lines(Rays).  <a href="#abcfbdb5e7051cb57a8b79d4dd821d129"></a><br/></td></tr>
<tr class="memitem:a05704aa101f3c820534f3d8f7eda7243"><td class="memTemplParams" colspan="2">template&lt;typename Scalar , int Dimension&gt; </td></tr>
<tr class="memitem:a05704aa101f3c820534f3d8f7eda7243"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespace_vtl_1_1intersections.html#a05704aa101f3c820534f3d8f7eda7243">lineWithFaceIntersection</a> (const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_Line, const <a class="el" href="class_vtl_1_1_polygon.html">Polygon</a>&lt; Scalar, Dimension &gt; &amp;_Face, Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *_Point=NULL, const double &amp;_Eps=1e-4)</td></tr>
<tr class="memdesc:a05704aa101f3c820534f3d8f7eda7243"><td class="mdescLeft">&#160;</td><td class="mdescRight">Intersects a line with a polygon face.  <a href="#a05704aa101f3c820534f3d8f7eda7243"></a><br/></td></tr>
<tr class="memitem:a053799f976f76b79c72d7cf1f09d91bc"><td class="memTemplParams" colspan="2">template&lt;typename Scalar , int Dimension&gt; </td></tr>
<tr class="memitem:a053799f976f76b79c72d7cf1f09d91bc"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespace_vtl_1_1intersections.html#a053799f976f76b79c72d7cf1f09d91bc">lineWith2DPolygonIntersection</a> (const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_Line, const <a class="el" href="class_vtl_1_1_polygon.html">Polygon</a>&lt; Scalar, 2 &gt; &amp;_2DPolygon, std::vector&lt; Eigen::Matrix&lt; Scalar, 2, 1 &gt;, Eigen::aligned_allocator&lt; Eigen::Matrix&lt; Scalar, 2, 1 &gt;&gt;&gt; *_Points=NULL, const double &amp;_Eps=1e-4)</td></tr>
<tr class="memdesc:a053799f976f76b79c72d7cf1f09d91bc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Intersects a line with polygon in [i,j] plane.  <a href="#a053799f976f76b79c72d7cf1f09d91bc"></a><br/></td></tr>
<tr class="memitem:a2c41afd47e2b4a7815639e0d7374ba49"><td class="memTemplParams" colspan="2">template&lt;typename Scalar , int Dimension&gt; </td></tr>
<tr class="memitem:a2c41afd47e2b4a7815639e0d7374ba49"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="namespace_vtl_1_1intersections.html#a2c41afd47e2b4a7815639e0d7374ba49">lineWithExcludedPolygonIntersection</a> (const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;_Line, const <a class="el" href="class_vtl_1_1_polygon.html">Polygon</a>&lt; Scalar, 2 &gt; &amp;_2DPolygon, const Scalar &amp;_PolygonBaseLineHeight, const Scalar &amp;_PolygonHeight, Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *_Point=NULL, const double &amp;_Eps=1e-4)</td></tr>
<tr class="memdesc:a2c41afd47e2b4a7815639e0d7374ba49"><td class="mdescLeft">&#160;</td><td class="mdescRight">Intersects a line with an excluded polygon.  <a href="#a2c41afd47e2b4a7815639e0d7374ba49"></a><br/></td></tr>
</table>
<hr/><h2>Function Documentation</h2>
<a class="anchor" id="abcfbdb5e7051cb57a8b79d4dd821d129"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Scalar , int Dimension&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; <a class="el" href="namespace_vtl_1_1intersections.html#abcfbdb5e7051cb57a8b79d4dd821d129">Vtl::intersections::lineToLineSegment</a> </td>
          <td>(</td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_LineA</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_LineB</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double &amp;&#160;</td>
          <td class="paramname"><em>_Eps</em> = <code>1e-4</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Returns the shortest line segment between two lines(Rays). </p>
<dl class="params"><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">_LineA</td><td></td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_LineB</td><td></td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Eps</td><td>(optional) Epsilon, increased value will result reduced accuracy of computation. Defaults to 1e-4. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns:</dt><dd>Eigen::ParametrizedLine&lt;Scalar, Dimension&gt; the direction maginitude of the returned line is the length of the shortest line segment. </dd></dl>

</div>
</div>
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<div class="memproto">
<div class="memtemplate">
template&lt;typename Scalar , int Dimension&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">bool <a class="el" href="namespace_vtl_1_1intersections.html#a053799f976f76b79c72d7cf1f09d91bc">Vtl::intersections::lineWith2DPolygonIntersection</a> </td>
          <td>(</td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_Line</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Polygon&lt; Scalar, 2 &gt; &amp;&#160;</td>
          <td class="paramname"><em>_2DPolygon</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">std::vector&lt; Eigen::Matrix&lt; Scalar, 2, 1 &gt;, Eigen::aligned_allocator&lt; Eigen::Matrix&lt; Scalar, 2, 1 &gt;&gt;&gt; *&#160;</td>
          <td class="paramname"><em>_Points</em> = <code>NULL</code>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double &amp;&#160;</td>
          <td class="paramname"><em>_Eps</em> = <code>1e-4</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Intersects a line with polygon in [i,j] plane. </p>
<dl class="params"><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">_Line</td><td>n-dimensional line to intersect. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_2DPolygon</td><td>2-dimensional polygon. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">_Points</td><td>(optional) the array of intersection points. Defaults to NULL. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Eps</td><td>(optional) Epsilon, increased value will result reduced accuracy of computation. Defaults to 1e-4. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns:</dt><dd>bool returns TRUE if it does intersect. </dd></dl>

</div>
</div>
<a class="anchor" id="a2c41afd47e2b4a7815639e0d7374ba49"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Scalar , int Dimension&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">bool <a class="el" href="namespace_vtl_1_1intersections.html#a2c41afd47e2b4a7815639e0d7374ba49">Vtl::intersections::lineWithExcludedPolygonIntersection</a> </td>
          <td>(</td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_Line</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Polygon&lt; Scalar, 2 &gt; &amp;&#160;</td>
          <td class="paramname"><em>_2DPolygon</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Scalar &amp;&#160;</td>
          <td class="paramname"><em>_PolygonBaseLineHeight</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Scalar &amp;&#160;</td>
          <td class="paramname"><em>_PolygonHeight</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *&#160;</td>
          <td class="paramname"><em>_Point</em> = <code>NULL</code>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double &amp;&#160;</td>
          <td class="paramname"><em>_Eps</em> = <code>1e-4</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Intersects a line with an excluded polygon. </p>
<dl class="params"><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">_Line</td><td>n-dimensional line to intersect. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_2DPolygon</td><td>2-dimensional polygon. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_PolygonBaseLineHeight</td><td>excluded polygon minimum height. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_PolygonHeight</td><td>excluded polygon height from the base line height. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">_Point</td><td>(optional) the nearest intersection point. Defaults to NULL. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Eps</td><td>(optional) Epsilon, increased value will result reduced accuracy of computation. Defaults to 1e-4. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns:</dt><dd>bool returns TRUE if it does intersect. </dd></dl>

</div>
</div>
<a class="anchor" id="a05704aa101f3c820534f3d8f7eda7243"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Scalar , int Dimension&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">bool <a class="el" href="namespace_vtl_1_1intersections.html#a05704aa101f3c820534f3d8f7eda7243">Vtl::intersections::lineWithFaceIntersection</a> </td>
          <td>(</td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_Line</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Polygon&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_Face</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *&#160;</td>
          <td class="paramname"><em>_Point</em> = <code>NULL</code>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double &amp;&#160;</td>
          <td class="paramname"><em>_Eps</em> = <code>1e-4</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Intersects a line with a polygon face. </p>
<dl class="params"><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">_Line</td><td></td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Face</td><td>polygonal face. All points in the polygon must be in the same hyperplane. </td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">_Point</td><td>(optional) the intersection point. Defaults to NULL. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Eps</td><td>(optional) Epsilon, increased value will result reduced accuracy of computation. Defaults to 1e-4. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns:</dt><dd>bool returns TRUE if it does intersect. </dd></dl>

</div>
</div>
<a class="anchor" id="a98449060e8a8660d4a37a3623dfe8271"></a>
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template&lt;typename Scalar , int Dimension&gt; </div>
      <table class="memname">
        <tr>
          <td class="memname">bool <a class="el" href="namespace_vtl_1_1intersections.html#a98449060e8a8660d4a37a3623dfe8271">Vtl::intersections::lineWithLineIntersection</a> </td>
          <td>(</td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_LineA</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Eigen::ParametrizedLine&lt; Scalar, Dimension &gt; &amp;&#160;</td>
          <td class="paramname"><em>_LineB</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">Eigen::Matrix&lt; Scalar, Dimension, 1 &gt; *&#160;</td>
          <td class="paramname"><em>_Point</em> = <code>NULL</code>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const double &amp;&#160;</td>
          <td class="paramname"><em>_Eps</em> = <code>1e-4</code>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td><code> [inline]</code></td>
        </tr>
      </table>
</div>
<div class="memdoc">

<p>Intersects two lines(Rays). </p>
<dl class="params"><dt><b>Parameters:</b></dt><dd>
  <table class="params">
    <tr><td class="paramdir">[in]</td><td class="paramname">_LineA</td><td></td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_LineB</td><td></td></tr>
    <tr><td class="paramdir">[out]</td><td class="paramname">_Point</td><td>(optional) the intersection point of line Defaults to NULL. </td></tr>
    <tr><td class="paramdir">[in]</td><td class="paramname">_Eps</td><td>(optional) Epsilon, increased value will result reduced accuracy of computation. Defaults to 1e-4. </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns:</dt><dd>bool returns TRUE if the two lines intersect each other. </dd></dl>

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